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Finding the Fourth Proportional to 3,304.64, 4,956.72 and 964.55

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Solution

The fourth proportional to 3,304.64, 4,956.72 and 964.55 is: 1,446.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,304.64 : 4,956.72 = 964.55 : x
  2. Step 2: Convert to fraction form
    3,304.64/4,956.72 = 964.55/x
  3. Step 3: Cross multiply
    3,304.64x = 4,956.72 × 964.55
  4. Step 4: Simplify right side
    3,304.64x = 4,780,979.49
  5. Step 5: Solve for x
    x = 4,780,979.49/3,304.64
  6. Step 6: Final answer
    x = 1,446.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.